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nevsk [136]
3 years ago
12

In a sample of 800 adults, 214 think that most celebrities are good role models. Two us adults are selected from this sample wit

hout replacement. find the probability that both adults think most celebrities are good role models
Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0

Answer:

11449/160000

Step-by-step explanation:

The probability of selecting a single adult that thinks most celebrities are good role models is 214/800 = 107/400

The probability that both do is

(107/400)^2 =. 11449/160000

You might be interested in
Which of the following is another name for a proof by contradiction?
andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0
3 years ago
Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell
Tatiana [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Using the formula

The probability of getting odd number disk=\frac{4}{8}=\frac{1}{2}

The probability of getting odd numbered  red disk=\frac{3}{8}

The probability of selecting a red disk,given that an odd numbered disk is selected=\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}

Using conditional probability

P(A/B)=\frac{P(A\cap B)}{P(B)}

6 0
3 years ago
A square matrix A is said to be idempotent iff A2 = A. (i) Show that if A is idempotent, then so is I − A. (ii) Show that if A i
muminat

Answer:

Step-by-step explanation:

Given that A is a square matrix and A is idempotent

A^2 = A

Consider I-A

i) (I-A)^2 = (I-A).(I-A)\\= I^2 -2A.I+A^2\\= I-2A+A\\=I-A

It follows that I-A is also idempotent

ii) Consider the matrix 2A-I

(2A-I).(2A-I)=\\4A^2-4AI+I^2\\= 4A-4A+I\\=I

So it follows that 2A-I matrix is its own inverse.

7 0
3 years ago
Help pls.
solong [7]

Answer:

A - Rational

B - Not Rational

C - Not Rational

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Do 12 / 15 and 8 / 10 have the same value? Explain your answer.
yKpoI14uk [10]
Hello there!


12/15 and 8/10 don't have the same value.

Reason: 
let's simplify both.

12/3 = 4

15/3 = 5

12/15 = 5/4


8/2 = 4

10/2 = 5

8/10 = 4/5


5/4 is greater than 4/5

5/4 > 4/5


Hope i helped!

Let me know if you need anything else!

~ Zoe
3 0
3 years ago
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